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Finding the Fourth Proportional to 1,924.36, 2,655.08 and 1,127.32

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Solution

The fourth proportional to 1,924.36, 2,655.08 and 1,127.32 is: 1,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.36 : 2,655.08 = 1,127.32 : x
  2. Step 2: Convert to fraction form
    1,924.36/2,655.08 = 1,127.32/x
  3. Step 3: Cross multiply
    1,924.36x = 2,655.08 × 1,127.32
  4. Step 4: Simplify right side
    1,924.36x = 2,993,116.74
  5. Step 5: Solve for x
    x = 2,993,116.74/1,924.36
  6. Step 6: Final answer
    x = 1,555.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.